On the vanishing viscosity approximation of a nonlinear model for tumor growth

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Vanishing Viscosity Approximation to Hyperbolic Conservation Laws

We study high order convergence of vanishing viscosity approximation to scalar hyperbolic conservation laws in one space dimension. We prove that, under suitable assumptions, in the region where the solution is smooth, the viscous solution admits an expansion in powers of the viscosity parameter ε. This allows an extrapolation procedure that yields high order approximation to the non-viscous li...

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ژورنال

عنوان ژورنال: Dynamics of Partial Differential Equations

سال: 2018

ISSN: 1548-159X,2163-7873

DOI: 10.4310/dpde.2018.v15.n2.a1